Book/Report FZJ-2018-00881

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png
Numerical integration of the reactor kinetics equations with exponentially fitted implicit methods



1976
Kernforschungsanlage Jülich, Verlag Jülich

Jülich : Kernforschungsanlage Jülich, Verlag, Berichte der Kernforschungsanlage Jülich 1307, 27 p. ()

Please use a persistent id in citations:

Report No.: Juel-1307

Abstract: This report treats the numerical integration of the reactor kineties equations for one and two prompt neutron groups by means of advanced numerical techniques being able to solve extrernely stiff initial value problems accurately at lange discretization intervals. The numerical algorithms being considered belong to a dass of exponentially fitted irnplicit methods with unlimited stability fange. Fitting methods being improved compared to existirtg approaches male an accuracy with lange discretization intervals possible, which, at comparable computational effort, may be several orders of magnitude baffer than the accuracy of established methods which are designed for the treatment of stiff problems. This is demonstrated frone results of numerical experiments which compare the proposed rnethods with known A-stable and strongly A-stable irnplicit methods without exponential fitting. The improved methods require an adaptation of the algorithm to the properties of the system of differential equation. The general considerations which have to be kept in view are explained so far as necessary for transmitting the technique to other stiff systems.


Contributing Institute(s):
  1. Publikationen vor 2000 (PRE-2000)
Research Program(s):
  1. 899 - ohne Topic (POF3-899) (POF3-899)

Database coverage:
OpenAccess
Click to display QR Code for this record

The record appears in these collections:
Document types > Reports > Reports
Document types > Books > Books
Workflow collections > Public records
Institute Collections > Retrocat
Publications database
Open Access

 Record created 2018-01-29, last modified 2021-01-29